Irreducibility of quantum representations of mapping class groups with boundary

被引：4

作者：

Koberda, Thomas ^{[1
]}

Santharoubane, Ramanujan ^{[1
]}

机构：

[1] Univ Virginia, Dept Math, POB 400137, Charlottesville, VA 22904 USA

来源：

QUANTUM TOPOLOGY | 2018年 / 9卷 / 04期

关键词：

TQFT representation; curve operator; skein algebra; irreducible representation; point-pushing; Birman exact sequence;

D O I：

10.4171/QT/116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that theWitten-Reshetikhin-Turaev SU (2) quantumrepresentations of mapping class groups are always irreducible in the case of surfaces equipped with colored banded points, provided that at least one banded point is colored by 1. We thus generalize a well- known result due to J. Roberts.

引用

页码：633 / 641

页数：9

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